Triple Centifact is the third mixed factorial of 100 or mixed factorial of double centifact, written as 100*** or 100*3 in multiple mixed factorials. The term was coined by SpongeTechX. It is smaller than \(\{10,10,\{10,10, \{100,101,97\}\}\}\) in BEAF, and it is therefore smaller than a boogolduplex.
Etymology[]
The name of this number is based on the word triple and the number centifact.
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{10,10,\{10,10,\{100,101,97\}\}\}\) |
| BEAF | \(\{10,10,\{10,10,\{100,101,97\}\}\}\) |
| Graham Array Notation | \([10,10,[10,10,[100,101,97]]]\) |
| Strong Array Notation | \(s(10,10,s(10,10,s(100,101,97)))\) |
| Hyper-E notation | \(E100\#\#97\#3\) |
| Chained arrow notation | \(100 \rightarrow 101 \rightarrow (100 \rightarrow 101 \rightarrow (100 \rightarrow 101 \rightarrow 97))\) |
| Hyperfactorial array notation | \(104![1]![1]![1]\) |
| Fast-growing hierarchy | \(f_{\omega}(f_{\omega}(f_{98}(100)))\) |
| Hardy hierarchy | \(H_{\omega^\omega2+\omega^{98}}(100)\) |
| Slow-growing hierarchy | \(g_{\varphi(\varphi(\varphi(96,0),0),0)}(100)\) |
Sources[]
See also[]
Main article: Mixed Factorial
Basic: Tetrafact · Pentafact · Hexafact · CentifactSeries 2: Centifact · Double Centifact · Triple Centifact · Quadruple Centifact · Quintuple Centifact · Decuple Centifact · Centuple Centifact
Series 3: Hypercentifact · Duo-hypercentifact · Ultracentifact